Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 812, 904, 620 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 812, 904, 620 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 812, 904, 620 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 812, 904, 620 is 4.
HCF(812, 904, 620) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 812, 904, 620 is 4.
Step 1: Since 904 > 812, we apply the division lemma to 904 and 812, to get
904 = 812 x 1 + 92
Step 2: Since the reminder 812 ≠ 0, we apply division lemma to 92 and 812, to get
812 = 92 x 8 + 76
Step 3: We consider the new divisor 92 and the new remainder 76, and apply the division lemma to get
92 = 76 x 1 + 16
We consider the new divisor 76 and the new remainder 16,and apply the division lemma to get
76 = 16 x 4 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 812 and 904 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(76,16) = HCF(92,76) = HCF(812,92) = HCF(904,812) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 4, we apply the division lemma to 620 and 4, to get
620 = 4 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 620 is 4
Notice that 4 = HCF(620,4) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 812, 904, 620?
Answer: HCF of 812, 904, 620 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 812, 904, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 812, 904, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.